3
What is the approximate
distance between points
(-7, 2) and (11,-5)?
a) 18.36 units
b) 19.31 units
c) 18.25 units
d) 10.31 units
e) 8.06 units

Answers

Answer 1
I’m pretty sure it’s B, 19.31 units. I hope this helps :)
Answer 2

9514 1404 393

Answer:

  b)  19.31 units

Step-by-step explanation:

The distance formula is useful for this.

  d = √((x2 -x1)² +(y2-y1)²)

  d = √((11 -(-7))² +(-5-2)²) = √(18² +(-7)²) = √373

  d ≈ 19.31 . . . units


Related Questions

Cameron found a jacket marked 20% off. If the original price is $90, how much is the discount?

Answers

Answer:

$18.

On your calculator subtract 20% from 90, which will get you 18. The new price would now be $72.

At the ski shack, customers can rent,skis, snowboards, boots, and poles by the day Mrs.Alvarez is renting skis and poles she has a 18$ coupon off
which expression represents the total cost for Mrs.Alvarez to rent skis for s days and poles for p days

Answers

Answer:

48s plus 12p - 18

Step-by-step explanation:

Answer:

Add 48 + 12 and Subtract the sum from 18 (14+12-18)

Step-by-step explanation:

Sorry if I'm confusing you ;(

what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?​

Answers

Answer:

what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver

Answer:

Step-by-step explanation:

On the 2nd equation, turn the slope the -3x. This creates two parralel lines.

Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.

The product of a number x minus 5 and three less than twice x

Answers

Answer:

(x-5)(2x-3)

Step-by-step explanation:

key words:

product = multiplication

minus - subraction

x-5

and = first phrase times next phrase

less than = a number minus the number before the 'less than'

twice = 2 times a number

if we put it together we get x-5 times 2x-3. we put parenthesis because we dont want to multiply only 5 and 2x so our answer is (x-5)(2x-3).

i hope this helped :))

please help this is very urgent!!! :((((

Answers

Answer:

7

Step-by-step explanation:

x = 2

3x/2+4

3(2)/2 + 4

3+4

7

7 is the correct answer

idkkk what it is I accidentally pressed a

Answers

It’s A. You can just add 3 to buy sides to end up with 4x > 8 and then divide by 2

The inequality will be x ≥ 2.

What is an inequality?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given is an inequality, 4x - 3 ≥ 5,

We need to solve for x,

4x - 3 ≥ 5

Add 3 to both sides,

4x - 3 + 3 ≥ 5 + 3

4x ≥ 8

Divide the inequality by 4,

4x / 4 ≥ 8 / 4

x ≥ 2

Hence the inequality will be x ≥ 2.

Learn more about inequality click;

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What equation is graphed in this figure?

y-4= = -⅓(x+2)
y-3= ⅓(x + 1)
y+ 2 = -3(x - 1)
y - 5 = 3 (x - 1)​

Answers

Answer:

y - 5 = 3(x - 1)

Step-by-step explanation:

Let the equation of the line passing through a point (x', y') and slope 'm' is,

y - y' = m(x - x')

Since slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is represented by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (0, 2) and (1, 5) is,

m = [tex]\frac{5-2}{1-0}[/tex] = 3

Now equation of the line passing through a point (1, 5) and slope = 3 will be,

y - 5 = 3(x - 1)

Option (4) is the answer.

Answer:

y−5=3(x−1)

Step-by-step explanation:

The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?​

Answers

Answer:

10 is the answer. 1:50 is 10:500 simplified

Step-by-step explanation:

500÷50=10.

Which of the following is true about the function above?​ - Apex

Answers

Answer:

The answer is B, The domain is (-4, infinite) and it's range is (0, infinite)

Step-by-step explanation:

If we graph this equation, we can see that x=-4 is the ascending point on the graph, infinitely continuing upwards, giving us -4, infinite. The range, however is found with infinitely continuing off the graph to the right, making it a positive infinitely for the y value as it is NOT a steady straight line.


Select the vector along which a translation of the plane would map point A to its image T (A).

Answers

Answer:MN

Step-by-step explanation:

I just did it lol

The vector  [tex]\vec {MN}[/tex] that would map point A to its image T (A).

What is a vector?

A vector is a quantity that possesses magnitude, direction, and adheres to the law of vector addition.

Given:

Two vectors [tex]\vec {PQ}[/tex] and [tex]\vec {MN}[/tex].

To map point A to its image T (A):

The translated map would be,

[tex]\vec {MN}[/tex].

Therefore,  [tex]\vec {MN}[/tex] is the vector.

To learn more about the vectors;

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calcule o perímetro de uma circunferência de raio igual a 15 cm​

Answers

Resposta:

94,24 cm

Explicação passo-a-passo:

Vamos por partes.

Primeiro descobrimos o diâmetro que é igual a 2 vezes o raio:

D = 2 x raio

D = 30cm

Agora a fórmula da circunferência C = π x D

C = 3,1416 x 30

C = 94,24 cm

espero que esto ayude!

que tengas un gran día!

tener un maravilloso fin de semana!

tener un maravilloso fin de semana! :) :D :3

Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation

Answers

Answer:

The answer is $159

Step-by-step explanation:

2b + 3 - Day 1

4b + 6 - Day 2

6b + 9 - Day 3

477=6b+9

-9          -9

468=6b

78=b

(2x78) + 3 = 159

The answer is $159

ASAP ,HELP ME PLS
Find the slope given these points:
(2,-4) & (3,1)
A. 5
B. -3
C. 3
D. -5

Answers

Answer:

A.

Step-by-step explanation:

What is the QUOTIENT of 16.8 and 4.4 ?

Answers

Answer:

3.81

Step-by-step explanation:

The answer is 3.18 I think

How much time will Alex need to walk to his school, which is 2 1/ 4 miles away from his house, if he would walk with the speed of …

3 mph


Please help!!!!

Answers

Answer:

Alex needs to walk for 45 minutes.

Step-by-step explanation:

2.25 / 3 = 0.75 hours

0.75 hours = 45 minutes

URGENT! 10 points
Solve for x then find DE

Answers

Answer:

14

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

x+7+7=4x+2 simplify

Find the slope of the line through the points (3,2) and (4,5).

Answers

Answer:

The answer is 3

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question we have

[tex]m = \frac{5 - 2}{4 - 3} = \frac{3}{1} = 3 \\ [/tex]

We have the final answer as

3

Hope this helps you

An animal reserve has 24,000 elks. The population increases by 12% a year. How long until the population is equal to 96,000,000

Answers

Answer:33,325,000

Step-by-step explanation:95,976,000÷2.88=33,325,000

The ratio of basketballs to volleyball in the gym is 3 to 5. If there are 60 volleyball in the gym, how many basketballs are there?

Answers

There are 36 basketballs. 3/5 would be equal to x/60. X is the amount of basketballs. 5 is multiplied by 12 to get to 60. 3 multiplied by 12 is 36. So 36 basketballs

If T is the midpoint of SU what are ST, TU, and SU?

Answers

Answer:

x=7, SU=63, TU=63, SU=126

Step-by-step explanation:

The mid point of SU is T meaning, ST=TU

we find value of x as 7.

replace x by 7 and find the value of given lines.

What is an equation for the line that passes through (6,-5) and (-8,16)

Answers

Answer:

y=mx

Step-by-step explanation:

i think thats the equation am pretty sure tho

Please help!!!!!!!!!!!
Find the measure of the exterior angle

Answers

Answer:

Im not sure but go with 24

c) 42°

exterior angle = sum of its opposite interior angles

Which means :-

[tex]x + 21 + 63 = 3x[/tex]

[tex]21 + 63 = 3x - x[/tex]

[tex]21 + 63 = 2x[/tex]

[tex]84 = 2x[/tex]

[tex]2x = 84[/tex]

[tex]x = 84 \div 2[/tex]

[tex]x = 42°[/tex]

Therefore , the correct option is :-

c) 42°

The product of a number and is 3 Find the number.
Your answer​

Answers

the product of

-3 and -11/9 is 3(2/3)

Can someone please
Help w this?

Answers

Answer: The top one is x>=0 or x<3
The Middle one is x>-2 or x<2

We went to the market to buy some fruit. We decided to buy some apples, strawberries, and oranges. If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30. If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90. If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70. Use the Gaussian Elimination Method to solve for the price of each fruit.

Answers

Step-by-step explanation:

Let the amount of apples bought be x

Amount of strawberries bought be y and;

amount of oranges bought be z

If we buy 2 apples, 3 boxes of strawberry, and 4 oranges, the fruit would cost $15.30, then this will be expressed as;

2x+3y+4z = 15.30 ........... 1

If we buy 1 box of strawberry, 4 apples, and 2 oranges, the fruit would cost $10.90, this will be expressed as:

4x+y+2z = 10.90 ......... 2

If we buy 1 orange, 5 apples and 2 boxes of strawberry, the fruit would cost $13.70, this is expressed as:

5x+2y+x = 13.70 .......... 3

Solving the three equations simultaneously:

2x+3y+4z = 15.30 ........... 1

4x+y+2z = 10.90 ......... 2

5x+2y+z = 13.70 .......... 3

Reduce the number of equations

multiply equation 1 by 2 and subtract from equation 2

equation 1 * 2 will give:

4x+6y+8z = 30.6 ........... 4

eqn (4)-eqn(2)

6y-y + 8z-2z = 30.6-10.90

5y+6z = 19.7 ......... 5

Also multiply equation 2 by 5 and eqn 5 by 4 and subtract from each other.

eqn(2)* 5 will give:

20x+5y+10z = 54.5 .......... *

eqn(3) * 4 will give

20x+8y+4z = 54.8.......**

Subtsrct ** from *

8y-3y+(4z-10z)= 54.8-54.5

5y-6z = 0.3 .................. 6

Equate 5 and 6 and solve:

5y+6z = 19.7 ......... 5

5y-6z = 0.3 .................. 6

subtract:

6z+6z = 19.7+0.3

12z = 20

z = 20/12

z = 1.67

Substitute z = 1.67 into eqn 6

5y-6(1.67) = 0.3

5y - 10 = 0.3

5y = 10.3

y = 10.3/5

y = 2.06

Substitute z = 1.67 and y = 2.06 into equation 1

From 1:

2x+3y+4z = 15.30

2x+3(2.06)+4(1.67) = 15.30

2x+6.18+6.68 = 15.30

2x+12.86 = 15.30

2x = 15.30-12.86

2x = 2.44

x = 2.44/2

x = 1.22

Therefore 1 apple costs $1.22, 1 strawberry costs $2.06 and 1 orange costs $1.67

On a certain​ planet, Continent X has an area of 6.23*10^6 square miles and Continent Y has an area of​ 63,600,000 square miles. How many times larger is Continent Y than Continent​ X?

Answers

Answer:

Step-by-step explanation:

Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So your answer would be 10.

I hope that helps

Answer:

Step-by-step explanation:Continent X =6.23*10^6

Continent Y= 63,600,000

rounded = 60,000,000

Scientific notation = 6*10^7

Now round continent X= 6.23 or 6

Continent X= 6*10^6

6*10^7/ 6*10^6 = 1*10^(7-6)

= 1*10^1

= 1*10

= 10

So, your answer would be 10 I would have done it this way too not trying to copy(:

Mr. Jones and Mr. Smith both plan to retire in 5 years. Mr. Jones has invested $250 per
month in a 401k retirement account for 20 years, and Mr. Smith has invested $500 a month
in a 401k retirement account for 10 years. Mr. Jones and Mr. Smith invested in the same
accounts yielding the same interest rate. Which statement about the retirement investments
of Mr. Jones and Mr. Smith is most likely to be true?
Mr.Smith will have more money saved because he invested more money each month.
Mr. Smith and Mr. Jones will have the same amount in their retirement funds.
Mr. Jones will have more money because he invested for a longer period of time.
cannot determine

Answers

Answer:

i don't know, i just want to know if you got it right

Step-by-step explanation:

The correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Mr. Jones and Mr. Smith both plan to retire in 5 years.

From the formula:

The rate of interest is the same for both cases.

The duration for Mr. Jones is 20 years

The Initial investment amount for Mr. Jones = $250

The duration for Mr. Smith is 10 years

The initial investment amount for Mr. Smith = $500

Mr. Jones will have more money because he invested for a longer period of time.

Thus, the correct statement (C) "Mr. Jones will have more money because he invested for a longer period of time" is correct.

Learn more about compound interest here:

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Use the distance formula to find the distance, to the nearest tenth, from S(5, −4) to W(−3, 7).

Answers

Answer:

185

Step-by-step explanation:

distance formula is d=√((x_2-x_1)²+(y_2-y_1)²

so it would be d=[tex]\sqrt{(-3-5)^{2} + (7-(-4))^{2} }[/tex]

where we see [tex](7-(-4))^{2}[/tex] will turn into [tex](7+4)^{2}[/tex]

[tex](-3-5)^{2} =64[/tex]

[tex](7+4)^{2} =121[/tex]

64+121= 185

Hope this helps...sorry if i'm wrong.

set up proportion and solve ​

Answers

Answer:

A.

Step-by-step explanation:

The Answer is A

What is the slope of the line through (-1,8) and (3,-4) ?

Answers

Answer:

m  = −3

Step-by-step explanation:

Use the slope formula to find the slope  m .

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